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Question
Mrs. Geeta deposited Rs. 350 per month in a bank for 1 year and 3 months under the Recurring Deposit Scheme. If the maturity value of her deposits is Rs. 5,565; find the rate of interest per annum.
Solution
Installment per month (P) = Rs. 350
Number of months (n) = 15
Let rate of interest (r) = r% p.a.
∴ `S.I. = P xx (n(n + 1))/(2 xx 12) xx r/100`
= `350 xx (15(15 + 1))/(2 xx 12) xx r/100`
= `350 xx 240/24 xx r/100`
= Rs. (35)r
Maturity value = Rs. (350 × 15) + Rs. (35)r
Given maturity value = Rs. 5,565
Then Rs. (350 × 15) + Rs. (35)r = Rs. 5,565
`=>` 35r = Rs. 5,565 – Rs. 5,250
`=>` r = `315/35` = 9%
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